Details

sample169.0ms

Algorithm

intervals

Results

33.0ms	174×	body	80	valid
29.0ms	270×	body	80	nan
28.0ms	51×	body	1280	valid
14.0ms	16×	body	2560	valid
12.0ms	30×	body	640	valid
3.0ms	11×	body	320	valid
1.0ms	7×	body	160	valid

simplify141.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	19
1	33	19
2	58	19
3	82	19
4	97	19
5	104	19
6	106	19
done	106	19

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.8b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ a (* b 3.0))
0.2b	(/ (* z t) 3.0)
0.2b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
26.4b	(cos (- y (/ (* z t) 3.0)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

23×	`cos-sum`
22×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
21×	`prod-diff`
19×	`add-exp-log` `add-cbrt-cube`
15×	`times-frac`
9×	`pow1`
5×	`prod-exp` `cbrt-unprod` `div-inv`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
3×	`cos-diff` `associate-r` `pow-prod-down`
2×	`frac-2neg` `clear-num`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `*-commutative`

Counts

4 → 101

Calls

4 calls:

13.0ms	(/ a (* b 3.0))
12.0ms	(/ (* z t) 3.0)
43.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
29.0ms	(cos (- y (/ (* z t) 3.0)))

series297.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ a (* b 3.0))
32.0ms	(/ (* z t) 3.0)
174.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
68.0ms	(cos (- y (/ (* z t) 3.0)))

simplify1.9s

Counts

113 → 113

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	327	2847
1	666	2377
2	1867	1875
done	5000	1638

prune647.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 16.6b

localize53.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sin y) (sin (/ (* z t) 3.0)))
1.1b	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
29.7b	(cos (/ (* z t) 3.0))
30.1b	(sin (/ (* z t) 3.0))

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `sin-mult`
1×	`associate-*l/` `unswap-sqr`

Counts

4 → 64

Calls

4 calls:

24.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
73.0ms	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
6.0ms	(cos (/ (* z t) 3.0))
6.0ms	(sin (/ (* z t) 3.0))

series355.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
244.0ms	(* (* (sin y) (sin (/ (* z t) 3.0))) (* 2.0 (sqrt x)))
17.0ms	(cos (/ (* z t) 3.0))
33.0ms	(sin (/ (* z t) 3.0))

simplify4.7s

Counts

76 → 76

Iterations

Useful iterations: done (4.7s)

Iter	Nodes	Cost
0	106	1065
1	225	1032
2	809	848
3	3718	840
done	5001	828

prune695.0ms

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 16.5b

localize46.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
2.8b	(log (exp (sin (/ (* z t) 3.0))))
29.7b	(cos (/ (* z t) 3.0))
30.1b	(sin (/ (* z t) 3.0))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
4×	`expm1-log1p-u` `log-pow` `log1p-expm1-u` `add-log-exp`
3×	`log-prod` `exp-prod` `times-frac` `associate-/r*`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `rem-log-exp` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

4 → 58

Calls

4 calls:

12.0ms	(/ (* z t) 3.0)
29.0ms	(log (exp (sin (/ (* z t) 3.0))))
6.0ms	(cos (/ (* z t) 3.0))
6.0ms	(sin (/ (* z t) 3.0))

series109.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (* z t) 3.0)
29.0ms	(log (exp (sin (/ (* z t) 3.0))))
18.0ms	(cos (/ (* z t) 3.0))
29.0ms	(sin (/ (* z t) 3.0))

simplify3.3s

Counts

70 → 70

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	98	613
1	168	571
2	462	498
3	1883	498
done	5001	498

prune770.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 16.5b

localize61.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ t (cbrt 3.0))
2.8b	(log (exp (sin (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0))))))
29.7b	(cos (/ (* z t) 3.0))
30.0b	(sin (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
12×	`cbrt-prod`
6×	`add-exp-log` `associate-/r*`
5×	`pow1` `add-cbrt-cube`
4×	`expm1-log1p-u` `log-pow` `log1p-expm1-u` `add-log-exp`
3×	`log-prod` `exp-prod` `associate-/l*`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `rem-log-exp` `clear-num` `div-inv`

Counts

4 → 76

Calls

4 calls:

7.0ms	(/ t (cbrt 3.0))
7.0ms	(log (exp (sin (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0))))))
19.0ms	(cos (/ (* z t) 3.0))
7.0ms	(sin (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0))))

series351.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(/ t (cbrt 3.0))
100.0ms	(log (exp (sin (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0))))))
17.0ms	(cos (/ (* z t) 3.0))
117.0ms	(sin (* (/ z (* (cbrt 3.0) (cbrt 3.0))) (/ t (cbrt 3.0))))

simplify5.4s

Counts

88 → 88

Iterations

Useful iterations: 4 (321.0ms)

Iter	Nodes	Cost
0	121	1027
1	171	971
2	282	883
3	421	883
4	684	679
5	1047	679
6	1785	679
7	4797	679
done	5000	679

prune955.0ms

Pruning

26 alts after pruning (26 fresh and 0 done)

Merged error: 16.4b

regimes4.6s

Accuracy

59.5% (1.6b remaining)

Error of 18.5b against oracle of 16.9b and baseline of 20.9b

bsearch5.0ms

simplify14.0ms

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	48	84
1	61	84
done	61	84

end0.0ms

sample9.0s

Algorithm

intervals

Results

2.2s	1602×	body	1280	valid
2.1s	8892×	body	80	nan
1.5s	5579×	body	80	valid
654.0ms	925×	body	640	valid
598.0ms	392×	body	2560	valid
170.0ms	433×	body	320	valid
63.0ms	230×	body	160	valid